Emek and Luna reached a narrow rope bridge in the canyon. A sign said each supply load could weigh no more than 12 kilograms. Their water weighed 7 kilograms, their food weighed 5 kilograms, and their equipment weighed 8 kilograms. Altogether, the supplies weighed 20 kilograms, too much for one load. They planned two trips. First, they carried the 7-kilogram water with the 5-kilogram food, making 12 kilograms. Then they carried the 8-kilogram equipment. Both loads were safe, and all their supplies reached the other side.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Add the weights in each pair and compare the total with the 12-kilogram limit.
The bridge allows no more than 12 kilograms in one load. Which pair of supplies can Emek and Luna carry together safely?
Water and equipment: 7 + 8 = 15 kilogramsFood and equipment: 5 + 8 = 13 kilogramsWater and food: 7 + 5 = 12 kilogramsAll three supplies: 7 + 5 + 8 = 20 kilogramsCorrect! The water and food weigh exactly 12 kilograms together, so the load is safe.
A safe load cannot weigh more than 12 kilograms. Check each total.
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Hint
Find the difference between the 12-kilogram limit and the 8-kilogram load.
On the second trip, Emek and Luna carried 8 kilograms of equipment. How many more kilograms could they add without going over the 12-kilogram limit?
Correct! They could add 4 kilograms and reach exactly 12 kilograms.
Subtract the 8 kilograms already in the load from the 12-kilogram limit.
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Hint
Add 5 kilograms and 8 kilograms, then compare the result with 12 kilograms.
Suppose Emek suggests carrying the 5-kilogram food with the 8-kilogram equipment on one trip. Why would this plan not be safe?
The load would weigh 11 kilograms, which is too light.The load would weigh 12 kilograms, which is not allowed.The load would weigh 13 kilograms, which is 1 kilogram over the limit.The load would weigh 15 kilograms, which is 3 kilograms over the limit.Correct! The food and equipment would weigh 13 kilograms, which is 1 kilogram over the limit.
First find 5 + 8, then compare that weight with the 12-kilogram limit.
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